Online GCD Calculator is useful to find the GCD of 636, 548, 524, 592 quickly. Get the easiest ways to solve the greatest common divisor of 636, 548, 524, 592 i.e 4 in different methods as follows.
Given Input numbers are 636, 548, 524, 592
In the factoring method, we have to find the divisors of all numbers
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
Divisors of 592 :
The positive integer divisors of 592 that completely divides 592 are.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
GCD of numbers is the greatest common divisor
So, the GCD (636, 548, 524, 592) = 4.
Given numbers are 636, 548, 524, 592
The list of prime factors of all numbers are
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 548 are 2 x 2 x 137
Prime factors of 524 are 2 x 2 x 131
Prime factors of 592 are 2 x 2 x 2 x 2 x 37
The highest common occurrence is 22
Therefore, GCD of 636, 548, 524, 592 is 4.
Given numbers are 636, 548, 524, 592
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(636, 548) = 87132
GCD(636, 548) = ( 636 x 548 ) / 87132
= 636 / 548
= 636
Step2:
LCM(4, 524) = 524
GCD(4, 524) = ( 4 x 524 ) / 524
= 4 / 524
= 4
Step3:
LCM(4, 592) = 592
GCD(4, 592) = ( 4 x 592 ) / 592
= 4 / 592
= 4
So, Greatest Common Divisor of 636, 548, 524, 592 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 636, 548, 524, 592
The greatest common divisor of numbers 636, 548, 524, 592 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 636, 548, 524, 592 is 4.
1. What is the GCD of 636, 548, 524, 592?
GCD of given numbers 636, 548, 524, 592 is 4
2. How to calculate the greatest common divisor of 636, 548, 524, 592?
We can find the highest common divisor of 636, 548, 524, 592 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 636, 548, 524, 592 i.e 4.
3. How can I use the GCD of 636, 548, 524, 592Calculator?
Out the numbers 636, 548, 524, 592 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.